How many types of symmetry are there?

Answer 1

There are several types of symmetry:

• rotational symmetry: an object maps exactly onto another if rotated about an axis
• translational symmetry: an object maps exactly onto another if moved along a line
• reflective symmetry: an object maps exactly onto another if reflected along a line
• and many combinations of the above, such as helical symmetry where an object maps exactly onto another if moved along a line and rotated about an axis.

· Rotoreflection symmetry

· Helical symmetry

· Non-isometric symmetries

· Scale symmetry and fractals